A child of mass m starts from rest and slides with-out friction from a height h along a curved waterslide(Fig. P5.46). She is launched from a height h/5 into the pool.(a) Is mechanical energy conserved? Why? (b) Give the gravi-tational potential energy associated with the child and herkinetic energy in terms of mgh at the following positions:the top of the waterslide, the launching point, and the pointwhere she lands in the pool. (c) Determine her initial speedh at the launch point in terms of g and h. (d) Determine hermaximum airborne height ymax in terms of h, g, and the hori-zontal speed at that height, w (e) Use the x-component ofthe answer to part (c) to eliminate y from the answer to part(d), giving the height ymax in terms of g, h, and the launchangle 0. (f) Would your answers be the same if the waterslidewere not frictionless? Explain.Утахth/5Figure P5.46

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Asked Dec 18, 2019
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A child of mass m starts from rest and slides with-
out friction from a height h along a curved waterslide
(Fig. P5.46). She is launched from a height h/5 into the pool.
(a) Is mechanical energy conserved? Why? (b) Give the gravi-
tational potential energy associated with the child and her
kinetic energy in terms of mgh at the following positions:
the top of the waterslide, the launching point, and the point
where she lands in the pool. (c) Determine her initial speed
h at the launch point in terms of g and h. (d) Determine her
maximum airborne height ymax in terms of h, g, and the hori-
zontal speed at that height, w (e) Use the x-component of
the answer to part (c) to eliminate y from the answer to part
(d), giving the height ymax in terms of g, h, and the launch
angle 0. (f) Would your answers be the same if the waterslide
were not frictionless? Explain.
Утах
th/5
Figure P5.46
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A child of mass m starts from rest and slides with- out friction from a height h along a curved waterslide (Fig. P5.46). She is launched from a height h/5 into the pool. (a) Is mechanical energy conserved? Why? (b) Give the gravi- tational potential energy associated with the child and her kinetic energy in terms of mgh at the following positions: the top of the waterslide, the launching point, and the point where she lands in the pool. (c) Determine her initial speed h at the launch point in terms of g and h. (d) Determine her maximum airborne height ymax in terms of h, g, and the hori- zontal speed at that height, w (e) Use the x-component of the answer to part (c) to eliminate y from the answer to part (d), giving the height ymax in terms of g, h, and the launch angle 0. (f) Would your answers be the same if the waterslide were not frictionless? Explain. Утах th/5 Figure P5.46

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Expert Answer

Step 1

Since we are entitled to answer up to 3 sub-parts, we’ll answer the first 3 as you have not mentioned the subparts you need help with. Please resubmit the question and specify the other subparts you’d like to get answered.

Step 2

Given:

Mass of the child = m

Initial velocity of the child = 0

Height of sliding = h

Height of launching = h/5

Step 3

Part (a): according to the law of conservation of energy

Energy of the system remains conserved until an external force is applied on it.

Since the child is sliding on the frictional less surface. There are only two forces experienced by ...

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